Home / 211,416-327,420

Finding the Third Proportional to 211,416 and 327,420

Calculator

Solution

The third proportional to 211,416 and 327,420 is: 507,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,416 : 327,420 = 327,420 : x
  2. Step 2: Convert to fraction form
    211,416/327,420 = 327,420/x
  3. Step 3: Cross multiply
    211,416x = 327,420 × 327,420
  4. Step 4: Simplify right side
    211,416x = 107,203,856,400
  5. Step 5: Solve for x
    x = 107,203,856,400/211,416
  6. Step 6: Final answer
    x = 507,075.42

Related Problems

Find third proportional to 105,708 and 163,710
Half scale
Find third proportional to 422,832 and 654,840
Double scale
Find third proportional to 211,418 and 327,423
Similar ratio
Find third proportional to 317,124 and 491,130
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.